Biharmonic surfaces with parallel mean curvature in complex space forms

Abstract

We classify complete biharmonic surfaces with parallel mean curvature vector field and non-negative Gaussian curvature in complex space forms.

15 pages

References in corpus (3)

• Biharmonic PNMC Submanifolds in Spheres
• Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries
• Biharmonic surfaces of constant mean curvature